Here we take the results for the masses of the scalar fields obtained in [1]} at their face value to find out how these masses are related to the cut-off \(\Lambda ^2\) .
We take the mass eigenvalues in eq. (REF ) and use the dependence on \(t\)  of all entries there given in eqs. (REF ), (REF ). For tachyons we get some functions \(M_1^2(t)\)  and for masses which are not tachyonic at small \(t\)  but become tachyonic away from small \(t\)  we get some functions \(M_2^2(t)\) . We plot both functions for \(0.001 \lesssim t \lesssim 1.3\)  in Fig. REF .
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